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Finding the Fourth Proportional to 32,146.22, 48,215.48 and 8,455.61

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Solution

The fourth proportional to 32,146.22, 48,215.48 and 8,455.61 is: 12,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,146.22 : 48,215.48 = 8,455.61 : x
  2. Step 2: Convert to fraction form
    32,146.22/48,215.48 = 8,455.61/x
  3. Step 3: Cross multiply
    32,146.22x = 48,215.48 × 8,455.61
  4. Step 4: Simplify right side
    32,146.22x = 407,691,294.84
  5. Step 5: Solve for x
    x = 407,691,294.84/32,146.22
  6. Step 6: Final answer
    x = 12,682.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.